1. Write a formula for f g h 2. Find the value of x [2x 31[¹3] = .f(x)=√x+1, g(x)=(x) -

Q: (b) The graph of y-g(x) is shown. Draw the graph of y=-g(x).

A: we have the graph of F(x) vs x when we put -x in place of x the graph will be mirror across Y- axis…

Q: (1) 5. How many different class pictures can be taken if there are 2 teachers and 15 students and…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: Find the indicated derivative. df If f(x) = x3, find dx 8 df dx |x = -11 || X 32 X = 10 X 1 2 11

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Q: Correct the answer Find the median for the following numbers: (21, 32,29, 8, 18, 3, 25) A-8 B-7 C-9…

A: To find the median of given set of numbers.

Q: a) Using all the letters of the word SUCCULENT, determine how many distinguishable arrangements…

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Q: There are 30 students registered for a multi-sport camp. There are 4 students who will play Hockey…

A: I have appended the formula used in the solution part of the question

Q: • Example: f(x, y, z) = x³ + 3xy + 3xz+y³ + 3yz + z³ • Find the stationary points • Classify the…

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Q: Determine whether the series converges. O The series diverges. O The series converges. 00 Σ k=1 k…

A: We can solve as follows

Q: Which of the following phrases describes an empty set? Common factors of 5 and 9. O Multiples of 2…

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Q: Find the area of the region enclosed by the following functions.

A: The given two curves:y=x3-3x+3 and y=3x2-2x.We need to find the area enclosed by the curves.

Q: 7 Given the graph to the right, find 0 7 0 f(x)dx = f(x)dx Ау 10- 8- 6- 4- 2- 0 2 14 Foo 6 co. 8 X…

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Q: Find the derivative of the function. 36 9 h(x) = 27x² 9 X

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Q: Evaluate the integral. (Use C for the constant of integration.) The integral of sqrt((4+x)/(4-x))dx

A: To evaluate the integration.

Q: f(x) = (1 + ln x) ³ 3

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Q: 6) Find The derivative of yo

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Q: x=y² - 4y and x=2y-y². (-3,3) -4 -3.5 -3 x=y² - 4y -2.5 -2 X= = 2y-y² -1.5 -0.5 2.5 1.5 1 0.5

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Q: Solve for y + In lyl at x=6: y'=(yx^2 - y)/(y+1); y(3) = -1 4.5

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Q: Q:1) Evaluate the line integral: [[xy'dx+x²ydy] C: [(x, y): x=t₁y=f²,0 ≤t≤1].

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Q: Find the value of the Sum Σxi' if x₁ = 8₁ x₂ = −3₁ X3 = 4₁x₁4 = - 1=1

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Q: xy lim (x,y)→(0,0) x² + y²

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Q: 2. Eliminate the arbitrary constants by elimination and combination y = C₁еx + C₂e²x + С₂e-³x

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: Find : dw/dk @=2 α - sin m καὶ 2

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: We have to check series is convergence or divergence by ratio test

Q: Refer to the graph of y = f(x) = x² + x shown. a) Find the slope of the secant line joining (-4,…

A: Given:    f(x) = x2 + x

Q: Find the area of the region enclosed by the curves y = x + 5, y² = = x, y = −1, and y = 2.

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Q: What values does the function(x)=√x+1-3 have in its range that are not in the range of the graph of…

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Q: Graph the function. g(x)=3x²-1 Plot five points on the graph of the function: one point with x = 0,…

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Q: 2. Below is the graph of f'(x). For what value(s) of x does x) have a point of inflection? TO A -3…

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Q: Find the area between f(x) = x2 - 7 and the x-axis from x = 0 and x = 6. The area is square units.…

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Q: 3 2 Find the area bounded by the two curves y = x³-6x²+ 8x and y = x² - 4x

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Q: Which graph represents two functions that are decreasing on all points across the domain that is…

A: To find out the graph in which two functions are decreasing in the domain common to both.

Q: Complete the following. (a) The graph of y = g(x) is shown. Draw the graph of y=2g(x−1).

A: We need to draw graph.

Q: 5) By using the method of undetermined coefficients, if the term of (r(x) = 3x² cos 5x), the exact…

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Q: 32 students in a particular school were surveyed to determine the subjects in which they were…

A: Solution : Given that from figure it is                     Clear that

Q: Q:4) Use Green theorem and evaluate the line integral ${Mdx + Ndy} Where M(x,y)=y², N(x,y)=x², C is…

A: See the details solution in below

Q: Consider the initial-value problem y' + exy = f(x), y(0) = 1. Express the solution of the IVP for x…

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Q: Ismael made an error when he was evaluating log3 27 - log3 9. Ismael's work log3 27 - log3 9 log, 27…

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Q: 5.) Using the tables, evaluate h'(2) for h(x) = - A.) 33√2 C) 33√2 33√2 512 8 33√2 D.) 3√2 f(x) g(x)

A: Given h(x)=f(x)g(x)

Q: olve the following exponential equation algebraically. 3(2-1) = 215 press you answer to the nearest…

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Q: H Suppose that f(5)= 1, f'(5) = 3, g(5) = -5, and g'(5) = 2. Find the following values. (a) (fg)'(5)…

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Q: Let f be a function of a. Which of the following is/are always true? (a) If f is differentiable at…

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Q: Determine the maximum and minimum value of the function f(x) = 3x3* - 1. O No max and min of -2 No…

A: This question can be solved using the concept of maxima and minima.

Q: A depositor currently has $6000 and plans to invest it in an account that accrues interest…

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Q: What is the degree of the following homogeneous function? * f(x, y) = On On-1 On-2 On-3 = xn +…

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.  8. y = c1e^x + c2xe^x +…

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Q: Find all roots of the polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs,…

A: Concept: Descartes's rule of signs: The number of positive (or negative) real roots and the number…

Q: Problem 3: The graph of h in the figure below has vertical asymptotes at x = -2 and x =3. Find th…

A: Topic = Limits

Q: 3. Let f'(x)=(x-10)(x+2)2(x-1)(x+7). For what values of x is fx) increasing? 0-110 0-9 8 None of…

A: Explanation of the answer is as follows

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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